On Minimal Realization For A Fuzzy Language And Brzozowski'S Algorithm
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology(2015)
Abstract
The purpose of the present work is to provide a simpler solution of a well-known characterization of fuzzy regular languages and a minimal realization for given fuzzy language by using Brzozowski's algorithm. In between, we associate two crisp deterministic fuzzy automata with a given crisp deterministic fuzzy automaton and show that the reachability and observability maps of the given crisp deterministic fuzzy automaton turn out to be morphisms of category of all crisp deterministic fuzzy automata.
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Key words
Crisp deterministic fuzzy automaton,reachability map,observability map,fuzzy language,minimal realization
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